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103200210300 = 223521124169341
BaseRepresentation
bin110000000011100110…
…1100011110101111100
3100212101012101212111010
41200013031203311330
53142323223212200
6115224242355220
710312253212455
oct1400715436574
9325335355433
10103200210300
113a848912500
121800165bb10
139968822bc5
144dd00a212c
152a4017a150
hex1807363d7c

103200210300 has 216 divisors, whose sum is σ = 336214949616. Its totient is φ = 24407680000.

The previous prime is 103200210293. The next prime is 103200210307. The reversal of 103200210300 is 3012002301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103200210293) and next prime (103200210307).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200210307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1453630 + ... + 1522970.

Almost surely, 2103200210300 is an apocalyptic number.

103200210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103200210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168107474808).

103200210300 is an abundant number, since it is smaller than the sum of its proper divisors (233014739316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103200210300 is a wasteful number, since it uses less digits than its factorization.

103200210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69421 (or 69403 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103200210300 its reverse (3012002301), we get a palindrome (106212212601).

The spelling of 103200210300 in words is "one hundred three billion, two hundred million, two hundred ten thousand, three hundred".